#
RESEARCH INTERACTION TEAM (RIT):

Modeling and Analysis in Atomic Physics

##
FALL 2015

Department of Mathematics

University of Maryland, College Park

##
LECTURES:
Wednesdays 4:30-5:45pm or 4:15-5:30pm, every 2 weeks;

please see schedule at this site on a bi-weekly basis

**Room:** MATH 1311

##
Scope & Research Focus:

The last couple of decades have witnessed remarkable advances in atomic physics. A highlight

of these advances is the first experimental observation in 1995 of the macroscopic occupation

of a single quantum state in trapped systems of atoms with integer spin (Bosons) at very low temperatures.

This observation, and the subsequent dramatic progress in related laboratory techniques, have sparked numerous

theoretical studies in the modeling and analysis of interacting atomic systems under an external potential such as

a laser or magnetic field.

The evolution of such atomic systems is governed by the (non relativistic) many-body Schroedinger equation.

Because of the large number of atoms, this description is impractical for computation and physical prediction.

From a mathematical standpoint, a challenging issue is the reduction of the many-body dynamics to an effective

description that involves fewer degrees of freedom.

This RIT aims to bring together researchers and students with focus on the modeling and analysis of atomic gases.

Topics to be discussed at informal meetings include (but are not limited to): the effect of particle spin;

aspects of atomic scattering; and the passage from many-body dynamics to mean-field descriptions.
##
CREDIT:
Students can take 1-3 units of credit by attending
this RIT, and

studying and presenting a paper on an acceptable topic agreed on with one
of the organizers,

or discussing original research.

For details, contact one of the Organizers (above).

##

##
**Schedule for Fall 2015:**

(upcoming talk titles will be posted on a bi-weekly basis)

Wed. October 7,

Rm. Math 1311; 4:15pm-5:30pm

*Organizational meeting -- Talk: ``Overview of Bose-Einstein Condensation''*

by Dio Margetis

Wed. October 21,

Rm. Math 1311; 4:30-5:45pm

*Talk: ``Bogoliubov theory of non-uniform Bose-Einstein condensates''*

by Ranchu Mathew (JQI)

Wed. November 11,

Rm. Math 1311; 4:15-5:30pm

*Talk: "Evolution of Bose-Einstein Condensate and Pair excitations"*

by Elif Kuz (Mathematics)

Wed. November 18,

Rm. Math 1311; 4:15-5:30pm

*Talk: "Evolution of Bose-Einstein Condensate at Finite Temperatures:*

A Taste of Mean-Field Theory via Quantum Field Theory Techniques"

by Dio Margetis (Mathematics, IPST and CSCAMM)